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252250240 = 2751135831
BaseRepresentation
bin11110000100100…
…00100010000000
3122120122122021111
433002100202000
51004034001430
641010333104
76152043304
oct1702204200
9576578244
10252250240
1111a430380
127058a194
134034c9c8
1425703d04
151722ac2a
hexf090880

252250240 has 64 divisors (see below), whose sum is σ = 657875520. Its totient is φ = 91724800.

The previous prime is 252250171. The next prime is 252250247. The reversal of 252250240 is 42052252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (252250247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10876 + ... + 24955.

It is an arithmetic number, because the mean of its divisors is an integer number (10279305).

Almost surely, 2252250240 is an apocalyptic number.

252250240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252250240 is an abundant number, since it is smaller than the sum of its proper divisors (405625280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252250240 is a wasteful number, since it uses less digits than its factorization.

252250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35861 (or 35849 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 252250240 is about 15882.3877298094. The cubic root of 252250240 is about 631.8449654436.

The spelling of 252250240 in words is "two hundred fifty-two million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 35831 71662 143324 179155 286648 358310 394141 573296 716620 788282 1146592 1433240 1576564 1970705 2293184 2866480 3153128 3941410 4586368 5732960 6306256 7882820 11465920 12612512 15765640 22931840 25225024 31531280 50450048 63062560 126125120 252250240